Title
A New Approach To Design Set-Membership State Estimators For Discrete-Time Linear Systems Based On The Observability Matrix
Abstract
The paper introduces a method for synthesising set-valued state estimators for uncertain discrete-time linear systems. Based on the past values of the input and output of the system and on its observability matrix, a non-conservative numerical scheme is proposed to characterise at each time instant a tight enclosure of the actual state vector of the system. Interval analysis and consistency techniques are applied to design this guaranteed state estimator. In addition, the finite-time convergence of the width of the estimated state enclosures is shown. A comparison study, with some existing methods in the literature, throughout numerical examples is presented.
Year
DOI
Venue
2020
10.1080/00207179.2019.1628296
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Discrete-time linear systems, uncertain systems, bounded error context, set-membership state estimator, interval observers, interval analysis
Journal
93
Issue
ISSN
Citations 
11
0020-7179
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Nacim Meslem1547.97
Nacim Ramdani214821.23